Graphs of the functions f and g are given. a) Which is larger, f(0) or g(0)? b) Which is larger, f(-3) or g(-3)? c) For which values of x is f(x)=g(x)?

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Graphs of the functions f and g are given.  a) Which is larger, f(0) or g(0)?  b) Which is larger, f(-3) or g(-3)?  c) For which values of x is f(x)=g(x)?

Gladys Fasching · Accepted Answer

A single variable function can be defined as a relation between the function variable and the function value which varies with the function variable. And if the function has one unique value for each value of x, it is called a one to one function    Step 2   a) f(0) and g(0) implies the value of the function  y when the value of x is zero.  From the graph at x=0, the value of the function f(x) is 3 and the value of g(x) is around 0.5. Therefore at x=0,f(x)&amp;gt;g(x)   b) As in the above question f(-3) and g(-3) implies the value of the function y, when the value of x is -3. From the graph of the functions, the value of f(x) at x=−3 is -1 and the value of g(x) at x=−3 is 2. Therefore g(-3) is greater than f(-3)   c) The point where f(x)=g(x) is the point where the graphs of the two functions intersects. From the graph, the two functions intersects at the points x=−2,2. Therefore for x=−2 and 2, f(x) will be equal to g(x).

Graphs of the functions f and g are given. a) Which is larger, f(0) or g(0)?

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